Homework Flashcard 11/19/24

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope of a line given in the form y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

How do you convert the standard form of a line (Ax + By = C) to slope-intercept form (y = mx + b)?

Back

Isolate y on one side of the equation to express it in the form y = mx + b.

Front

What is the slope of a line that is perpendicular to y = -4/3x - 3?

Back

The slope of the perpendicular line is 3/4.

Front

If two lines have the same slope, what can we conclude about their relationship?

Back

They are parallel.

Front

What is the formula to calculate the total cost of hosting a party with a fixed fee and a variable cost per guest?

Back

Total Cost = (Cost per guest * Number of guests) + Fixed fee.

Front

Calculate the total cost for hosting a party for 6 guests at $15 per guest with a $90 reservation fee.

Back

Total Cost = (15 * 6) + 90 = $180.

Front

What is the significance of the y-intercept in the slope-intercept form of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by b in y = mx + b.

Front

How can you identify if two lines are neither parallel nor perpendicular?

Back

If the slopes are different and their product is not -1, the lines are neither parallel nor perpendicular.